CN1968161B - Filter equalization using magnitude measurement data - Google Patents

Filter equalization using magnitude measurement data Download PDF

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CN1968161B
CN1968161B CN200610144602XA CN200610144602A CN1968161B CN 1968161 B CN1968161 B CN 1968161B CN 200610144602X A CN200610144602X A CN 200610144602XA CN 200610144602 A CN200610144602 A CN 200610144602A CN 1968161 B CN1968161 B CN 1968161B
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frequency
response
frequency band
filter
radio
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CN1968161A (en
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何怡
T·C·希尔三世
M·K·达西尔瓦
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Tektronix Inc
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/01Equalisers
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Measurement Of Resistance Or Impedance (AREA)
  • Digital Transmission Methods That Use Modulated Carrier Waves (AREA)
  • Cable Transmission Systems, Equalization Of Radio And Reduction Of Echo (AREA)
  • Measuring Frequencies, Analyzing Spectra (AREA)

Abstract

A filter equalization technique for an analog signal path, such as in an instrument that simultaneously measures a signal over a band of frequencies, uses magnitude measurement data for high frequency bands for which phase-calibrated sources are not readily available. A sinusoidal signal source together with an accurate power meter is used to provide a stepped frequency input over a desired frequency band to the analog signal path with an accurate measured magnitude. The output of the analog signal path is digitized and the resulting frequency magnitudes are computed. Then the resulting power meter results are deducted from the frequency magnitudes measured each time by the instrument to determine the magnitude response of the analog signal path. Using a Hilbert transform the corresponding phase response is determined based on a minimum phase assumption over the desired frequency band. From the magnitude and phase responses an inverse or digital equalization filter may be designed for the analog signal path.

Description

A kind of method of filter equalization of analog signal channel
Technical field
The present invention relates on frequency band the instrument of measuring-signal simultaneously, and the filter equalization of these instruments of the accuracy that relates more specifically to be used to use magnitude measurement data to improve frequency domain and time domain measurement.
Background technology
In Modern Telecommunication, come digitlization ground transmission information by many modulation techniques.These technology comprise modulating frequency, phase place and/or amplitude.It is complicated more that modulation scheme becomes, and increased to provide on telecommunications industry to have the more pressure of the equipment of high accuracy.Amplitude flatness and phase linearity that typical communication standard requires satisfy performance objective, for example the error rate.In order to determine the accuracy of telecommunication installation, measuring instrument requires to have even higher accuracy.Yet these measuring instruments comprise the amplitude that influences different frequency in a different manner and the filter of phase place, promptly, in the decay of a frequency place signal amplitude possibly greater than the decay at another frequency place in band connection frequency, the phase place of the signal by filter or postpone also may to be affected simultaneously at different frequency places.Ideally, filter should not have decay or equal should be identical by all frequencies in its passband and the delay by filter to all frequencies damply, therefore in filter passband not the relative phase from the frequency to the frequency change.
Provide a kind of calibration source for the current technology of lower frequency, it is a composite signal, promptly has a plurality of frequencies of output in the signal of comb frequencies feature.After the several stages by filtering, this signal is digitized and amplitude and phase place is measured and compare with known desired result.Provide inverse filter to handle this digitized output then so that this result output meets this known desired result based on measurement result.
For intermediate frequency (IF) channel equalization on radio frequency (RF)/microwave apparatus, the design of calibration source or pumping signal is crucial.For low-frequency band, the broadband signal of repetition, for example pseudo noise (PRN) signal can be used as driving source and uses the linear feedback shift register of following quick response trigger to be performed at an easy rate.The signal list of this repetition reveals the frequency spectrum of pectination.Known amplitude and phase relation are arranged between spectrum line.The channel frequence of at first measuring in response to this pumping signal responds so that can estimate total IF channel frequence on spectrum line.Finally obtain this IF channel frequence response by the frequency response of removing pumping signal.For spectrum line being kept good signal to noise ratio (snr), the useful part of PRN frequency spectrum is selected usually to have the amplitude of identical magnitude with the signal bandwidth of instrument.
Yet for high frequency, in the performance that the PRN of band of interest signal does not have enough power to obtain to wish usually, this is because the envelope that the amplitude of frequency spectrum is followed sin (x)/x.Can substitute the balanced source of using other, for example OFDM (OFDM) modulation signal.Compare with the PRN method, this second method will be tried to achieve more on hardware resource, digital to analog converter (DAC) for example, frequency mixer and local oscillator (LO).Making or moving between alignment epoch, the amplitude and the frequency response in the phase place of pumping signal all need measured.Source calibration on last conversion OFDM signal is to have challenge especially, and this is because lack specification signal generator well at high frequency.In other words, for the high frequency band of balanced measuring instrument, not convenient available phase alignment source.As a result, can reach 30% or higher in the measure error of high frequency band, it has substantially exceeded for guaranteeing that telecommunication apparatus is correctly operated provides the desired accuracy of measurement of signal of communication clearly.
Wishing has a kind of technology that is used for the high frequency band of balanced measuring instrument, its explanation amplitude and phase place all to have than the higher accuracy of the desired accuracy of measured equipment.
Summary of the invention
Therefore, the invention provides the filter equalization that uses magnitude measurement data provides enough accuracy to have complicated telecommunication apparatus now to detect.For the filter equalization technology of analog signal channel, for example measure at the same time in the measuring instrument of the signal on the frequency band, not that convenient available high frequency band uses magnitude measurement data to the phase alignment source.Sine signal source is used to provide on the frequency band of hope the ladder frequency to be input to the analog signal channel that each ladder frequency is had the amplitude of accurate measurement together with the wattmeter of calibration.The output of analog signal channel is digitized and calculates resulting Frequency and Amplitude.Then, from the Frequency and Amplitude that measuring instrument records at every turn, deduct the amplitude response that corresponding wattmeter result determines analog signal channel.Based on the hypothesis of the minimum phase on the frequency band of hope, use Hilbert transform to determine the respective phase response.According to amplitude and phase response, anti-phase or digital equalization filter can be designed to analog signal channel.
When reading in conjunction with claims and accompanying drawing, for following detailed explanation, purpose of the present invention, advantage and other novel characteristics are tangible.
Description of drawings
Fig. 1 is the block diagram of typical measuring instrument with filter equalization of magnitude measurement data used according to the invention.
Fig. 2 is the view of the waveform relevant with filter equalization according to the present invention.
Embodiment
With reference now to Fig. 1,, measuring instrument, vector signal analyzer for example, fore-end 10 be shown having low-frequency band passage 20 and high frequency band passage 30, optionally be coupled to public intermediate frequency (IF) passage 40 via switch SW separately.The output of public IF passage 40 is by analog to digital converter (ADC) 50 digitlizations, and the result who is digitized is handled by suitable digital processing unit (DP) 52 subsequently.Low-frequency band passage 20 comprises broadband low pass filter 22, the first low-frequency band frequency mixers 2424, low-frequency band IF filter 26 and the second low-frequency band frequency mixer 28 of series connection.Be imported into first utmost point of switch SW from the output of this second low-frequency band frequency mixer 28.High frequency band passage 30 comprises broadband band pass filter 32, the first high frequency band frequency mixers 34, high frequency band IF filter 36 and the second high frequency band frequency mixer 38 of series connection.Be imported into second utmost point of switch SW from the output of this second high frequency band frequency mixer 38.Output from switch SW is imported into public IF passage 40, and this passage comprises an IF filter 42 of series connection, IF frequency mixer 44 and the 2nd IF filter 46.Output from the 2nd IF filter 46 is imported into ADC50.
What be applied to broadband low pass filter 22,32 as radio frequency (RF) signal is single frequency sinusoidal signal from high_frequency sine wave source 54.Wattmeter (PM) 56 is coupled the amplitude of measuring the single frequency sinusoidal signal.High frequency calibration wattmeter as wattmeter 56 is available, and its wattmeter is calibrated to high accuracy according to the standard of National Institute of Standards and Tech (NIST).In order to carry out filter equalization as described below, high_frequency sine wave source 54 with discontinuous increment from a frequency jump to another frequency, and the amplitude of each frequency measures high accuracy by wattmeter 56 and is stored among the DP52.
Be based on such fact from the processing of the amplitude measurement of wattmeter 56 with from the processing of the amplitude measurement of the output of ADG50: the analog filter that uses in measuring instrument has good approximation to the desirable analog filter with minimum phase attribute.For the system of describing by linear constant coefficient differential equation,, the selection of limited quantity is only arranged for relevant phase place so if the number at the amplitude of frequency response and the utmost point and zero point is known.Under the situation of minimum phase, the frequency response amplitude is determined phase place uniquely, described in the in Digital Signal Processing that publishes at Prentice-Hall (1989) as A.V.Openheim and R.W.Schafer.For example, this technology has been used to only uses the amplitude of response spectrum to construct transient response, as F.M.Tesche in August, 1992, IEEE Electro Magnetic Compatibility proceedings, Vol.34 says among the On the Uae of the Hilbert Transformfor Processing Measured CW Data of No.3 and discusses.Minimum phase system has its all utmost points and zero point in unit circle.If H1 and H2 are two minimum phase systems, H1*H2 and H1/H2 also are minimum phase systems so, and this is because resulting system still has in unit circle all utmost points and zero point.This character is applied to based on the low-frequency band passage 20 of amplitude measurement and the estimation of the frequency response difference between the high frequency band passage 30.
Usually RF and microwave filter are the full utmost point filters of realizing owing to simple physical, and the passband of this filter and full utmost point filter, and for example the Chebyshev filter has good approximation.The shortage at zero point allows only to use part passband amplitude reasonably well to estimate phase place in the corresponding frequencies.This is very important because incorporate into these filters measuring instrument signal bandwidth basically less than in signalling channel 20,30 immediately following bandwidth at the IF filter 26,36 of first frequency mixer, 24,34 back.
To each complete filter measurement, various IF in actual use the and RF frequency are for the independent separately passage 20,30th of Fig. 1, and be clear and definite.For the synthetic purpose of filter measurement and correction, total passband response is assumed to be by mathematics ground and is positioned at position placed in the middle around a single-frequency, the cascade connection simply of all independent filters.Therefore, carry out new measurement and correction for the new equipment that the different piece of wherein independent filter is actually used if independent IF or RF frequency is changed different analytical equipments.Though frequency response may have contribution to all frequency devices in the passage separately, analog filter is main contributor.Public IF frequency mixer 44 combinations are positioned at all frequency responses of the device of public IF passage 40.Allow R become the complex vector that comprises phase place and amplitude during proofreading and correct, wherein R is the frequency response difference H1/H2 between low-frequency band and the high frequency band IF filter 26,36.H1 is the frequency response for low-frequency band IF filter 26, and H2 is the frequency response for high frequency band IF filter 36.For RF filter 22,32 separately, also measure a value L as the complex vector H01/H02 between two filters, wherein H01 is the frequency response for low-frequency band RF filter 22, H02 is the frequency response for high frequency band RF filter 32.Can measure low band frequencies response P1=H01*H1*H3 as PRN calibration source (not shown) of the prior art in running time, wherein H3 is the frequency response for public IF passage 40.The frequency response of high frequency band passage 30 is P2=H02*H2*H3=P1/L/R, wherein at alignment epoch measurements L and R.Because relatively narrower frequency range, high-gain and the long signal passage with a lot of gain stages, common H3 is than H1 and H2 responsive to temperature more.
The Hilbert transform technology can be used for making the logarithm of its correlation magnitude part in the phase place of frequency and the minimum phase system to interrelate as follows:
1) makes from the input CW frequency in source 54 and the centre frequency of low-frequency band passage 20 and all become stepped (becoming stepped) to measure the amplitude response A1 on the interested bandwidth by correspondingly making the LO frequency that is input to low-frequency band frequency mixer 24.The bandwidth that records should be less times greater than the signal bandwidth that requires to design.A1 only is the amplitude response of RF filter 22.
2) making the centre frequency of the CW frequency of input and high frequency band passage 30 all become stepped measures for the amplitude response A2 on the bandwidth of interest of RF filter 32.Then | L|=A1/A2.
3) make the input CW frequency on the low-frequency band passage 20 become stepped (need not change the LO frequency) to come measuring amplitude response B1.The amplitude response of B1 combination RF and IF filter 22,26.
4) make input CW frequency on the high frequency band passage 30 become the amplitude response B2 of stepped measure R F of coming and IF filter 32,36.Then | R| is calculated as B1/B2/|L|.
5) use Hilbert transform from | calculate the R that phase place obtains to have phase place and amplitude response the R|.Similarly from | L| calculates L.
6) for the use of back, R and L are stored in the measuring instrument as calibration data.
7) in running time, use inner generation source (not shown), for example PRN measures low band frequencies response P1.The frequency response of high frequency band passage is P2=P1/L/R.
8) use the P2 that calculates to provide filter equalization as high frequency band passage 30.Symbol "/" in the top frequency domain is equal to the frequency spectrum that deducts separately.Also note,, from the amplitude that the output by ADC50 calculates, deducted the corresponding amplitude that records by wattmeter 56 for each stepped frequency for obtaining each amplitude response.
As shown in Figure 2, the frequency spectrum that RF filter 22,32 is recorded (a) illustrates the result as top step 1 and 2.Show RF and IF filter 22,26 from step 3 and 4 then; Total frequency response (c) of 32,36.Difference between two results of the frequency response of RF filter 22,32 and total frequency response is the frequency response (b) for IF filter 26,36.
Therefore, the present invention is by acquisition amplitude response to analog signal channel on concrete frequency band, suppose from the phase response of amplitude response derivation based on minimum phase for analog signal channel, and provide filter equalization for analog signal channel from amplitude and phase response design digital equalizer filter, the filter equalization that uses magnitude measurement data is provided.

Claims (4)

1. the method for the filter equalization of an analog signal channel that is used to have low-frequency band passage (20) and high frequency band passage (30), each passage all has radio-frequency filter (22,32) and intermediate-frequency filter (26,36), and the method comprising the steps of:
By measuring, to obtain the radio frequency amplitude response of radio-frequency filter on concrete frequency band at the amplitude response of the low-frequency band passage radio-frequency filter (22) on the low-frequency band passage (20) and the amplitude response of the high frequency band passage radio-frequency filter (32) of measurement on high frequency band passage (30);
By measuring combined magnitude response and the high frequency band passage radio-frequency filter (32) of measurement on high frequency band passage (30) and the combined magnitude response of high frequency band passage intermediate-frequency filter (36) at low-frequency band passage radio-frequency filter (22) on the low-frequency band passage (20) and low-frequency band passage intermediate-frequency filter (26), with radio frequency and the intermediate-frequency filter (22 that obtains on concrete frequency band, to make up, 32,26,36) combined magnitude response;
By from the amplitude response of low-frequency band passage radio-frequency filter, deducting the amplitude response of high frequency band passage radio-frequency filter, obtain the radio frequency amplitude response; By deducting the combined magnitude response on the high frequency band passage the response of the combined magnitude from the low-frequency band passage, obtain the combined magnitude response; By from the combined magnitude response, deducting the radio frequency amplitude response, obtain the intermediate frequency amplitude response;
Based on the minimum phase hypothesis on concrete frequency band, the use Hilbert transform is calculated the radio-frequency (RF) phse response and calculate intermediate frequency phase response from the intermediate frequency amplitude response from the radio frequency amplitude response;
Measure the frequency response of this low-frequency band passage (20);
By deducting radio-frequency (RF) phse response and intermediate frequency phase response from the response of low-frequency band channel frequence, with according to the frequency response of this low-frequency band passage, radio-frequency (RF) phse response and intermediate frequency phase place to the frequency response that should come to determine high frequency band passage (30), obtain the frequency response of this high frequency band passage (30) thus; With
The frequency response of using the frequency response of this low-frequency band passage (20) and this high frequency band passage (30) is with equalization filtering.
2. according to the process of claim 1 wherein that obtaining the amplitude response step comprises step:
Stair-stepping frequency continuous wave signal (54) is provided in the input of analog signal channel;
The amplitude of all measuring each frequency of stair-stepping frequency continuous wave signal in input and output place of analog signal channel obtains amplitude response.
3. method according to claim 1 and 2 also is included in the measuring instrument that comprises analog signal channel storage amplitude response and phase response as calibration data.
4. method according to claim 3, the frequency response of wherein measuring low-frequency band is included in the interior inside sources of using running time of measuring instrument.
CN200610144602XA 2005-11-09 2006-11-09 Filter equalization using magnitude measurement data Expired - Fee Related CN1968161B (en)

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CN1968161A (en) 2007-05-23
DE602006011698D1 (en) 2010-03-04
TW200733656A (en) 2007-09-01
KR101294771B1 (en) 2013-08-08
JP4711935B2 (en) 2011-06-29
EP1786163A1 (en) 2007-05-16
US7649930B2 (en) 2010-01-19
TWI423626B (en) 2014-01-11
US20070104261A1 (en) 2007-05-10
JP2007135214A (en) 2007-05-31
EP1786163B1 (en) 2010-01-13

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